{
  "id": "1808.04221",
  "version": "v1",
  "published": "2018-08-13T13:59:36.000Z",
  "updated": "2018-08-13T13:59:36.000Z",
  "title": "On criteria for rook equivalence of Ferrers boards",
  "authors": [
    "Jonathan Bloom",
    "Dan Saracino"
  ],
  "comment": "11 pages, European Journal of Combinatorics 2018",
  "categories": [
    "math.CO"
  ],
  "abstract": "In [2] we introduced a new notion of Wilf equivalence of integer partitions and proved that rook equivalence implies Wilf equivalence. In the present paper we prove the converse and thereby establish a new criterion for rook equivalence. We also refine two of the standard criteria for rook equivalence and establish another new one involving what we call \\emph{nested sequences of L's}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-13T13:59:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19"
    ],
    "keywords": [
      "ferrers boards",
      "rook equivalence implies wilf equivalence",
      "integer partitions",
      "standard criteria"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}